1305100313 has 6 divisors (see below), whose sum is σ = 1434531882. Its totient is φ = 1186454720.

The previous prime is 1305100309. The next prime is 1305100327. The reversal of 1305100313 is 3130015031.

It can be written as a sum of positive squares in only one way, i.e., 1083923929 + 221176384 = 32923^2 + 14872^2 .

It is not a de Polignac number, because 1305100313 - 2² = 1305100309 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1305100291 and 1305100300.

It is not an unprimeable number, because it can be changed into a prime (1305100373) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5392856 + ... + 5393097.

It is an arithmetic number, because the mean of its divisors is an integer number (239088647).

Almost surely, 2^1305100313 is an apocalyptic number.

It is an amenable number.

1305100313 is a deficient number, since it is larger than the sum of its proper divisors (129431569).

1305100313 is a wasteful number, since it uses less digits than its factorization.

1305100313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10785975 (or 10785964 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 1305100313 is about 36126.1721332333. The cubic root of 1305100313 is about 1092.8183142125.

Adding to 1305100313 its reverse (3130015031), we get a palindrome (4435115344).

The spelling of 1305100313 in words is "one billion, three hundred five million, one hundred thousand, three hundred thirteen".